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Circuit complexity in fermionic field theory

Khan, Rifath and Krishnan, Chethan and Sharma, Sanchita (2018) Circuit complexity in fermionic field theory. In: PHYSICAL REVIEW D, 98 (12).

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Official URL: https://doi.org/10.1103/PhysRevD.98.126001


We define and calculate versions of complexity for free fermionic quantum field theories in 1 + 1 and 3 + 1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits. We do this both by discretizing and identifying appropriate classes of Bogoliubov-Valatin transformations, and also directly in the continuum by defining squeezing operators and their generalizations. As a closely related problem, we consider cMERA tensor networks for fermions: viewing them as paths in circuit space, we compute their path lengths. Certain ambiguities that arise in some of these results because of cutoff dependence are discussed.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to AMER PHYSICAL SOC
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 02 Jan 2019 17:00
Last Modified: 02 Jan 2019 17:00
URI: http://eprints.iisc.ac.in/id/eprint/61284

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